Question regarding the arrow of time

How about this idea...
With regards to this thing called, the arrow of time!

Could the universe have different arrows of time for different regions of the universe?
This regions of the universe where the Earth is, the arrow of time is going say forward.

Could there be other far off regions of the universe that have the arrow of time going backwards?

Imagine if the universe was composed of a forward arrow of time sub-universe and a backward arrow of time sub-universe superimposed upon eachother!

If there were galaxies in regions of the universe that have the arrow of time going backwards,
from our perspective instead of the stars in those galaxies emitting light, they would be absorbing light,
and therefore their light would not be visible to us here in this forward arrow of time region of the universe.

The observational consequence would be if we went somewhere and found clouds of random looking debris and gas coalescing into unlikely arrangements, light bizarrely focusing itself onto dwarf stars until they bloat and evaporate into uniform gas clouds, planets with dirt that suddenly arranges itself into big living organisms that shrink and then are taken into even newer organisms..

Nothing stopping this happening, it's just incredibly improbable.

What I can't explain is why it seems our universe was far, far more improbable than that when it began (more so even than the anthropic principle justifies).

Could the universe have different arrows of time for different regions of the universe depending on the type of matter there?

This regions of the universe where the Earth is, the arrow of time is going say forward, and lets call the type of matter here, forward matter.

Could there be other far off regions of the universe that have the arrow of time going backwards?
And the type of matter in those regions could be known as reverse matter.

Imagine if the universe was composed of a forward arrow of time sub-universe and a backward arrow of time sub-universe superimposed upon eachother!

If there were galaxies in regions of the universe that have the arrow of time going backwards, from our perspective instead of the stars in those galaxies emitting light, they would be absorbing light, and therefore their light would not be visible to us here in this forward arrow of time region of the universe.